Coupling constants calculation of charmed meson with kaon from QCD sum rules

Abstract

In this research, the strong coupling constants of the s0 K vertices are evaluated, using the three-point QCD sum rules. In order to calculate the coupling constant of each vertex, either the kaon or the charmed meson is considered as the off-shell particle.The basic g parameter, in the heavy quark effective theory, is related to the coupling constants of D * D * s K and D * D s K. Our obtained value for g parameter is 0.24 ± 0.09, which is in good agreement with the lower limits of the other existing predictions.

Strong couplings of scalar heavy mesons with light axial vector and pseudoscalar states in LCSR

“…Predictions of 3PSR [102] , [117] are also presented for completeness. Vertex 3PSR [102] This work Vertex 3PSR [102] , [117] This work − 1.37 ± 0.21 − 1.49 ± 0.52 − 1.51 ± 0.21 − 1.82 ± 0.46 − 1.72 ± 0.27 − 2.15 ± 0.31 − 2.45 ± 0.13 − 3.58 ± 0.53 4.68 ± 1.44 4.62± 0.72 3.92 ± 0.93 3.80 ± 0.81 − 6.01 ± 0.52 4.90 ± 1.91 5.33 ± 0.62 …”

B$_1$B$_{s0}$K and B$_1$B$_{s1}$K strong couplings in three-point QCD sum rules

“…More accurate determination of these coupling constants plays an important role in the understanding of the interactions of the final states in the hadronic decays of the heavy mesons. The following coupling constants have been determined by different research groups:D * D * ρ [3], D * Dπ [4,5], DDρ [6], D * Dρ [7], DDJ/ψ [8], D * DJ/ψ [9], [22], and D * D * s K and D * D s K [23], in the framework of threepoint QCD sum rules. It is very important to know the precise functional form of the form factors in these vertices and even to know how this form changes when one or the other (or both) mesons are off-shell [20].…”